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Average Synchronization and Temporal Order in a Noisy Neuronal Network with Coupling Delay |
| WANG Qing-Yun1,2;DUAN Zhi-Sheng1;LU Qi-Shao3 |
| 1State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 1008712Department of Statistics and Mathematics, Inner Mongolia Finance and Economics College, Huhhot 0100513School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083 |
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| Cite this article: |
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WANG Qing-Yun, DUAN Zhi-Sheng, LU Qi-Shao 2007 Chin. Phys. Lett. 24 2759-2761 |
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Abstract Average synchronization and temporal order characterized by the rate of firing are studied in a spatially extended network system with the coupling time delay, which is locally modelled by a two-dimensional Rulkov map neuron. It is shown that there exists an optimal noise level, where average synchronization and temporal order are maximum irrespective of the coupling time delay. Furthermore, it is found that temporal order is weakened when the coupling time delay appears. However, the coupling time delay has a twofold effect on average synchronization, one associated with its increase, the other with its decrease. This clearly manifests that random perturbations and time delay play a complementary role in synchronization and temporal order.
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| Keywords:
05.45.-a
05.45.Xt
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Received: 18 June 2007
Published: 20 September 2007
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| PACS: |
05.45.-a
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(Nonlinear dynamics and chaos)
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05.45.Xt
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(Synchronization; coupled oscillators)
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